2005 IEEE International Symposium on Circuits and Systems
DOI: 10.1109/iscas.2005.1465946
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Delay Extraction from Frequency Domain Data for Causal Macro-modeling of Passive Networks

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Cited by 11 publications
(22 citation statements)
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“…When the two imaginary parts are overlapped, the input data can be considered causal. For passivity, the tool computes the 2-norm of the S-parameter matrix [2][3]. The data represent a passive system when the computed 2-norm is less than one.…”
Section: A S-parameter Managermentioning
confidence: 99%
“…When the two imaginary parts are overlapped, the input data can be considered causal. For passivity, the tool computes the 2-norm of the S-parameter matrix [2][3]. The data represent a passive system when the computed 2-norm is less than one.…”
Section: A S-parameter Managermentioning
confidence: 99%
“…If intrinsic electromagnetic parameters of ingredients of a composite satisfy causality, the effective parameters, calculated using the MGA, should also be causal. If the effective permittivity ε eff -M G (f ) is represented in the Debye form, then the causality expressed through the Kramers-Krönig relations (KKR) [32][33][34] is satisfied automatically. This is important for simulation convergence of numerical codes in time domain, if the material with ε eff -M G (f ) is modeled using one of the time-domain numerical electromagnetic technique [35].…”
Section: Introductionmentioning
confidence: 99%
“…However, this approach has a number of challenging problems whose importance is increasing with the increase in digital system speed. Some of those problems stated in [1] are: (a) "with increasing clock frequencies, the size of the passive structures is comparable to the signal wavelength at the operating frequency, leading to distributed effects like delay playing an important role in the time domain analysis. These distributed effects imply that there are many causality conditions that need to be satisfied, to generate the correct signal response in the time domain.…”
Section: Introductionmentioning
confidence: 99%
“…With this trend of increase in the digital system speed, a number of frequency-dependant behaviors start to impact signal propagation in typical digital system. Examples of those behaviors are; skin effect (frequency dependant losses) [1] and [3]- [5] and frequency dependant dielectric constant [6]. Analyzing the impact of those frequency-dependant parameters on SI can be done using the same traditional TD based tools and methodology [2], but this approach involves a non-straight-forward correlation between TD simulations and those frequency-dependant behaviors.…”
Section: Introductionmentioning
confidence: 99%